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505766690 = 25113133779
BaseRepresentation
bin11110001001010…
…110001100100010
31022020200121110122
4132021112030202
52013434013230
6122104200242
715350642312
oct3611261442
91266617418
10505766690
1123a546000
12121469082
1380a23b40
144b257442
152e606be5
hex1e256322

505766690 has 128 divisors (see below), whose sum is σ = 1121541120. Its totient is φ = 163088640.

The previous prime is 505766687. The next prime is 505766707. The reversal of 505766690 is 96667505.

It is a super-2 number, since 2×5057666902 = 511599889427112200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6402071 + ... + 6402149.

It is an arithmetic number, because the mean of its divisors is an integer number (8762040).

Almost surely, 2505766690 is an apocalyptic number.

505766690 is an abundant number, since it is smaller than the sum of its proper divisors (615774430).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

505766690 is a wasteful number, since it uses less digits than its factorization.

505766690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 44.

The square root of 505766690 is about 22489.2572131674. The cubic root of 505766690 is about 796.7402197067.

The spelling of 505766690 in words is "five hundred five million, seven hundred sixty-six thousand, six hundred ninety".

Divisors: 1 2 5 10 11 13 22 26 37 55 65 74 79 110 121 130 143 158 185 242 286 370 395 407 481 605 715 790 814 869 962 1027 1210 1331 1430 1573 1738 2035 2054 2405 2662 2923 3146 4070 4345 4477 4810 5135 5291 5846 6655 7865 8690 8954 9559 10270 10582 11297 13310 14615 15730 17303 19118 22385 22594 26455 29230 32153 34606 37999 44770 47795 49247 52910 56485 58201 64306 75998 86515 95590 98494 105149 112970 116402 124267 160765 173030 189995 210298 246235 248534 291005 321530 353683 379990 417989 492470 525745 582010 621335 640211 707366 835978 1051490 1242670 1280422 1366937 1768415 2089945 2733874 3201055 3536830 3890513 4179890 4597879 6402110 6834685 7781026 9195758 13669370 19452565 22989395 38905130 45978790 50576669 101153338 252883345 505766690